Difference between revisions of "ApCoCoA-1:Num.ProjectAVI"
From ApCoCoAWiki
| Line 1: | Line 1: | ||
<command> | <command> | ||
<title>Num.ProjectAVI</title> | <title>Num.ProjectAVI</title> | ||
| − | <short_description>Calculates the least squares solution to the general problem Ax=b, where x are coefficients of an order ideal</short_description> | + | <short_description>Calculates the least squares solution to the general problem Ax=b, where x are coefficients of an order ideal.</short_description> |
<syntax> | <syntax> | ||
Num.ProjectAVI(Mat:MAT, Vec:MAT, OI:LIST):POLY | Num.ProjectAVI(Mat:MAT, Vec:MAT, OI:LIST):POLY | ||
Revision as of 14:24, 28 April 2009
Num.ProjectAVI
Calculates the least squares solution to the general problem Ax=b, where x are coefficients of an order ideal.
Syntax
Num.ProjectAVI(Mat:MAT, Vec:MAT, OI:LIST):POLY
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
Calculates the least squares solution to the general problem Ax=b, when there is no exact solution. The solution x is interpreted as the coefficients of the terms in the order ideal.
@param Mat Matrix A
@param Vec Vector B in matrix form.
@param OI Order Ideal
@return The least squares soltion to Ax=b interpreted as coefficients of OI.
Example
Dec(Num.ProjectAVI([[1,1],[0,1],[1,1]],[[0],[1],[0]],[x,y]),2); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- [<quotes>-0.99 x +1 y </quotes>] -------------------------------
See also
